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  • 1:10 AM, Thursday, 26 Nov 2020

Department of Mathematics
     
Deepak T.G., Ph. D.
Professor
 
Office
Tel:+91-471-2568480
Fax:+91-471-2568462
Email:deepak@iist.ac.in / tgdeepiist@gmail.com













Education
  • Ph.D, Cochin University of Science & Technology, Cochin (2002)
  • M.Sc in Mathematics, Mahatma Gandhi University, Kottayam (1993)

Course Offered
Under Graduate Level (B.Tech)
  • Probability & Statistics
  • Complex Analysis, Fourier series & Integral Transforms
  • Linear Algebra & Differential Equations
  • Numerical Methods, PDE & Calculus of Variation
Post Graduate Level (M.Tech)
  • Applied Statistics
  • Modelling & Simulation
  • Statistical Models & Analysis
Ph D Course Work
  • Mathematical Methods

Experience
  • Lecturer, School of Technology and Applied Sciences, Mahatma Gandhi University Regional Centre, Edappally, Cochin(16 October 1998 to 9 March2005)
  • Lecturer, Govt. Polytechnic college, Kothamangalam, Kerala (10 March 2005 to 4 September 2007)
  • Reader, Indian Institute of Space Science & Technology, Thiruvananthapuram, (5 September 2007 to 20 January 2009)
  • Assistant Professor, Indian Institute of Space Science & Technology, Thiruvananthapuram, (21 January 2009 to 5 July 2013)
  • Associate Professor, Indian Institute of Space Science & Technology, Thiruvananthapuram, (6 July 2013 to 17 August 2020)
  • Professor,  Indian Institute of Space Science & Technology, Thiruvananthapuram, (18 August 2020 onwards)
Professional Activities

Reviewed articles for 

  • Mathematical Reviews, published by American Mathematical Society
  • Asia Pacific Journal of Operational Research
  • OPSEARCH
  • Annals of Operations Research
  • Journal of Indian Statistical Association
  • International Journal of Reliability and Safety
  • International Journal of Management Science and Engineering Management
  • Simulation Modelling Practice and Theory
  • Journal of Applied Mathematics & Informatics
  • International Journal of Applied and Computational Mathematics
  • International Journal of Mathematics in Operational Research
  • Journal of the Indian Society for probability and Statistics
  • Optimization
  • Reliability Engineering & System Safety
International Journal
  1. A.Krishnamoorthy and T.G.Deepak, “Modified N-policy for M/G/1 queues”, Computers &   Operations Research, vol.29, no: 12, pp.1611-1620, 2002. http://www.sciencedirect.com/
  2. T.G.Deepak,”Transient analysis of an M/M/1 queue under N-policy”, International Journal   of Management and Systems, vol.18, no.2, pp.179 – 192, 2002.
  3. T.G.Deepak, V.C.Joshua and A.Krishnamoorthy,” Queues with postponed work” TOP, vol.12, no.2, pp.375-398, 2004. http://link.springer.com/
  4. A.Krishnamoorthy, V.C.Narayanan and T.G.Deepak, “On a queuing system with self generation of priorities” Neural, Parallel and Scientific Computations, vol.13, pp.119-130, 2005.
  5. A.Krishnamoorthy, T.G.Deepak and V.C.Joshua “An M/G/1 Retrial Queue with non-persistent customers and orbital search”, Stochastic Analysis and Applications, Vol.23, pp. 975-997, 2005. http://www.tandfonline.com/
  6. A. Krishnamoorthy, V.C.Narayanan, T.G.Deepak & K.Vineetha ‘’Effective utilization of idle time in an (s, S) inventory with positive service time”, Journal of Applied Mathematics& Stochastic Analysis, volume (2006), article ID 6906, 2006.  http://www.hindawi.com/
  7. A.Krishnamoorthy, V.C.Narayanan, T.G.Deepak & K.Vineetha, “Control policies for inventory with service time”, Stochastic analysis and Applications, vol.24, no.4, pp. 889-899, 2006.  http://www.tandfonline.com/
  8. A.Krishnamoorthy, V.C.Narayanan & T.G.Deepak “Optimal Utilization of service facility for a  k- out of- n system with repair  by  extending service to external customers in a retrial queue”, Journal of Applied Mathematics and Computing,vol.25,nos.1-2,pp.389-405,2007. http://link.springer.com/
  9. V.C.Narayanan, T.G.Deepak, A.Krishnamoorthy & B.Krishnakumar ‘’on an(s, S)   inventory with service time, vacation to the server and correlated lead time”Qualitative Technology and Quantitative Management, vol.5, no.2, pp.129- 143, 2007.  https://www.tandfonline.com/
  10. T.G.Deepak, A.Krishnamoorthy, V.C.Narayanan& K.Vineetha “Inventory with service time and transfer of customers   and   inventory”, Annals of Operations Research, vol.160, pp.191-213, 2008.   http://link.springer.com/
  11. A.Krishnamoorthy, P.K.Pramod and T.G.Deepak “On a queue with interruptions and repeat/resumption of service”, Non linear Analysis-Theory, Methods & Applications, vol.71, issue 12, pp.e1673-1683, 2009.  http://www.sciencedirect.com/
  12. A.Krishnamoorthy, V.C.Joshua, V.C.Narayanan and T.G.Deepak “An MAP/PH/1 retrial queueing model with negative arrivals and orbital search”, International Journal of Applied Mathematics,vol.1,issue 1,December 2009.
  13. T.G.Deepak, A.N.Dudin, V.C.Joshua and A.Krishnamoorthy, “On an M^(X)/G/1 retrial system with two types of search of customers from the orbit”, Stochastic Analysis and Applications, 31(1), pp.92-107, 2013.http://www.tandfonline.com/
  14. T.G.Deepak, “On a retrial queueing model with single/batch service and search of customers from the orbit” , TOP vol.23, issue 2, pp.493-520, 2015. .http://link.springer.com/
  15. Dhanya Shajin, Binitha Benny, T.G.Deepak and A.Krishnamoorthy, “A relook at queueing-inventory system with reservation, cancellation and common life time”, Communications in Applied Analysis,vol.20, pp.545-574, 2016. http://www.acadsol.eu/
  16. T.G.Deepak, “A queueing network model for delay and throughput analysis in multi-hop wireless ad hoc networks”, Reliability: Theory & Applications,vol.12, No 2 (45), pp.68-81, 2017.https://pdfs.semanticscholar.org/
  17. Sweta Dey and T.G.Deepak, "A matrix analytic approach to study the queueing characteristics of nodes in a wireless network", OPSEARCH, vol.56, issue 2, pp.477-496, 2019. https://link.springer.com/
  18. E.Morozov,A.Rumyantsev,Sweta Dey and T.G.Deepak, "Performance analysis and stability of multiclass orbit queue with constant retrial rates and balking", Performance Evaluation, 2019.https://www.sciencedirect.com/
  19. Sweta Dey and T.G.Deepak, "An approximation to joint system size distribution at nodes in some multi-hop wireless networks", Reliability: Theory & Applicationsvol.14, No 4 (55), pp.37-45, 2019. http://www.gnedenko.net/
  20. Sweta Dey and T.G.Deepak, "Two-way communication orbit queues with server vacation",  International Journal of Applied and Computational Mathematics, vol.6,92,2020. https://link.springer.com/
  21. Celeste.R.Pavithra  and T.G.Deepak, "Multivariate finite support phase type distributions",  Journal of Applied Probability, vol.57, issue 4, pp. 1260-1275, 2020.  http://dx.doi.org/10.1017/jpr.2020.65.
National Journal
  • T.G.Deepak, V.C.Narayanan and V.C.Joshua “On an inventory with positive service  time,having optional  processingtime”, Bulletin of Kerala Mathematics Association, vol.4, no.2, pp.75-86,    2007.
International Conference Proceedings
  1. A.Krishnamoorthy, V.C.Narayanan and T.G.Deepak,” Reliability of a k-out-of-n system with repair by a service stationattending a queue with postponed work” Proceedings of the 2004 Asian International workshop(AIWARM  2004), pp.293-300, August 2004, Hiroshima, Japan.
  2. A.Krishnamoorthy, V.C.Narayanan and T.G.Deepak,” Maximization of reliability of a k-out-of-n system with repair by afacility attending external customers in a retrial queue”, Proceedings of the Fifth International workshop on Retrial Queues, pp.31-38, September 2004, Seol, S.Korea.
  3. Pavithra Celeste.R, and T.G.Deepak, "On Fisher Information of Some Functions of Phase Type variates", Proceedings of the Tenth International Conference on Matrix Analytic Methods in Stochastic Models (MAM10), 13-15 February 2019, University of Tasmania, Hobart, Australia.
Book Chapter
  1. A.N.Dudin,T.G.Deepak, V.C.Joshua , A.Krishnamoorthy and V.Vishnevsky, “On a BMAP/G/1 retrial system with two types of search of customers from the orbit”, Proceedings of the Sixteenth International Conference on Information Technologies and Mathematical Modelling (ITMM 2017: 29 September-3 October , Kazan, Russia), Part of the Communications in Computer and Information Science Springer Book Series, vol.800, pp:1-12, 2017. https://link.springer.com/chapter/10.1007

Articles Under Review

  Pavithra Celeste.R, and T.G.Deepak, "Parameter estimation and computation of the Fisher information matrix for functions of phase type variates".

  1. Invited talk on Markov Decision Process: An important tool in Mathematical Modelling in the UGC sponsored National Seminar organised by Dept of Mathematics, St. Aloysius College, Edathua, Kerala, on 14 August , 2009.
  2. Invited talk on Matrix Analytic Methods in Stochastic Modelling in the International   Conference on Statistics, Probability and Allied Areas and International Indian Statistical Association (IISA) Joint Statistical Meeting organized by Andhra University, Visakhapatnam during 4-8 January 2010.
  3. Resource person for the short term training programme on Mathematical Methods in Engineering organised by Dept of Mechanical Engineering, College of Engineering, Thiruvananthapuram, during 18-23 January, 2010.
  4. Resource person for the workshop on stochastic processes organised for teachers in Engineering colleges, by Dept. of Mathematics, College of Engineering, Thiruvananthapuram and Technical Education Dept, Govt. of Kerala during 2-3 July, 2010.
  5. Resource person for the Short Term Training Program on Application of Stochastic Processes jointly organized by Faculty and Staff Development Training Centre and Dept of Mathematics, Govt Engineering College, Thrissur, Kerala during 24-28 September 2012.
  6. Resource person for the Short Term Course on Statistical and Mathematical Techniques for Engineers organized by Dept of Mathematics, L.B.S.Institute of Technology for Women, Thiruvananthapuram during 19-23 November 2012.
  7. Resource person for the Faculty Development Program on Applications of Mathematics organized by Dept of Mathematics, Rajagiri School of Engineering and Technology, Cochin, and funded by AICTE and DRDO, during 3-15 December 2012.
  8. Chaired a session and delivered an invited talk on On a retrial queueing model with single/batch service and search of customers from the orbit in the International Conference on Frontiers of Statistics and its Applications in Conjunction with XXXII Annual Convention of Indian Society for Probability and Statistics organized by Pondicherry Central University, Puducherry during 21-23 December 2012.
  9. Invited talk on Linear Algebra, organized jointly by Dept of Mathematics and the Mathematics Association of D.B.Pampa College, Parumala, Kerala on 13 February 2013.
  10. Invited talk on Operations Research organized by Dept of Computer Science, College of Engineering, Kidangoor, Kottayam, Kerala on 8 March 2013.
  11. Resource person for the IISc Mathematics Initiative Workshop on Differential Equations organized by Dept of Mathematics, Govt college, Chittur, Palakkad, during 15-21 May 2013.
  12. Resource person for ‘Young Talent Nurture 2013’, organized by Dept. of Mathematics , IIST, and funded by IIST, during 28 May-8 June 2013.
  13. Invited talk on  Measure theoretic Approach to Probability in the national seminar on  Measure with its applications in analysis and probability, organized by  Dept. of Mathematics, KKTM Govt. College, Kodungallur, Thrissur during 18-19 November 2013.
  14. Invited talk on Conditional expectation and its role in estimation theory in the International conference on Mathematics Education & Mathematics in Engineering & Technology, organized by  Mohandas college of Engineering & Technology, Thiruvananthapuram during 17-20 December 2013.
  15. Resource person for the workshop on Differential equations and its applications  organized by IIST during 18-21 December 2013.
  16. Invited talk on Modelling and simulation  in the UGC sponsored national seminar on Recent trends in operations research organized by Dept. of Mathematics, Assumption college, Changanassery, during 18-19 January 2014.
  17. Invited talk on Banach  Fixed point theorem and its Applications in the UGC sponsored national seminar on Advanced Mathematical analysis & operator theory, organized by Dept. of Mathematics, Aquinas college, Edakochi, during 23-24 January 2014.
  18. Resource person for the Workshop on Foundations of Mathematics, organized by Dept. of Mathematics, D.B.Pampa college, Parumala  during 12-14 February 2014.
  19. Resource person for the Faculty Development Program on Stochastic methods in analysis and processing of digital images, organized by College of Engineering, Karunagappally during 4-6 June 2014.
  20. Resource person for the Faculty Development Program on Applied  Mathematics, organized by Adi Shankara Institute of Engineering & Technology, Kalady, Ernakulam during 16-20 June 2014.
  21. Resource person for the workshop on Recent advances in applied Mathematics   organized by TKM college of Engineering Kollam, during 27-28 November 2014.
  22. Resource person for the Young Talent Nurture 2014, organized  by Dept. of Mathematics, IIST, and funded by IIST during 14-29 May 2014.
  23. Resource person for the Refresher course in Mathematics for the University/college teachers conducted by UGC-Academic staff college, University of Kerala . Thiruvananthapuram during June 2014.
  24. Invited talk on Probability theory  in the UGC sponsored national conference on Recent developments on emerging fields in pure and applied Mathematics organized by Dept. of Mathematics, Thiagarajar college, Madurai, during 12-13 March  2015.
  25. Resource person for the TEQIP II sponsored Faculty Development Program on Linear Algebra and Applications, organized by College of Engineering, Karunagappally during 26-30 October 2015.
  26. Resource person for the Faculty Development Program on Engineering Research: Practices and Tools, organized by College of Engineering, Trikaripur, Kasaragode during 23-27 November 2015.
  27. Resource person for the DTE sponsored Faculty Development Program on Mathematical Techniques in Engineering Research organized by Rajeev Gandhi Institute of Technology, Kottayam  during 7-11 December 2015.
  28. Resource person for the TEQIP II sponsored  workshop on  Application of Probability and Statistics on Image Processing organized by College of Engineering, Karunagappally on 16 December 2015.
  29. Resource person for the  Faculty Development Program on Mathematical  Applications in Engineering Field organized by College of Engineering, Cherthala  during 14-17 December 2015.
  30. Resource person for the Young Talent Nurture 2015 organized  by Dept. of Mathematics, IIST, and funded by IIST during May -June 2015.
  31. Invited talk on Probability,  in connection with a special function,  organized by Dept. of Mathematics, Govt. college, Chittoor on 19 March 2016.
  32. Resource person for the  Faculty Development Program on Control and Optimization Techniques: An Engineering Approach, organized by Model Engineering College,  Ernakulam   during 25-29 April 2016.
  33. Resource person for the  Faculty Development Program on Mathematics of Signal Processing,  organized by College of Engineering, Cherthala  during 25-27 April 2016.
  34. Invited talk on Network Scheduling at Indian Naval Academy, Ezhimala, Kannur on 25 September 2016.
  35. Resource person for an in-service course,  organized by Kendriya Vidyalaya, Pattom on 29 December 2016.
  36. Resource person for the TEQIP II sponsored  workshop on  Mathematics for Engineeers organized by Dept. of Applied Science, College of Engineering, Adoor during  18-20 January 2017.
  37. Resource person for the  Faculty Development Program on Applications of basic sciences in engineering,  organized by Dept. of Applied Sciences, College of Engineering, Kidangoor, Kottayam, during 22-23 March 2017.
  38. Resource person for the  Workshop on Integral transforms and  applications,  organized by College of Engineering, Perumon  during 31 March -1 April 2017.
  39. Resource person for the Young Talent Nurture 2017, organized  by Dept. of Mathematics, IIST during 22 May -3 June 2017.
  40. Resource person for the Workshop on Stochastic Processes, organized by Centre for Research in Mathematics, CMS College, Kottayam during 18-19 July 2017.
  41. Invited talk on Matrix-Exponential Distributions in the International Conference on Statistics for Twenty-first Century-2017 (ICSTC-2017), organized by Dept. of Statistics, University of Kerala, Thiruvananthapuram during 14-16 December 2017.
  42. Invited talk on From Exponential to Matrix-Exponential Distributions in the International seminar on Stochastic Modelling, Analysis and Applications, organized by Centre for Research in Mathematics, CMS College, Kottayam during 10-11 January 2018.
  43. Invited talk on Conditional Expectation and Orthogonality organized by Dept. of Mathematics, Central University of Kerala, Kasaragod on 22 January  2018.
  44. Resource person for the Young Talent Nurture 2018, organized  by Dept. of Mathematics, IIST during 14-26 May 2018.
  45. Invited talk on A Matrix Analytic Approach to Study the Queueing Characteristics of Nodes in a Wireless network in the National Seminar on Recent Trends in Statistical Theory and Applications,organized by Dept. of Statistics, University of Kerala, Thiruvananthapuram during 28-30 June 2018.
  46. Invited talk on Some Class of probability Distributions Governed by Markov processes in the National Conference on Advances in Statistical Methods,organized by Dept. of Statistical Sciences, Kannur University, Kannur during 8-10 November 2018.
  47. Resource person for the International Workshop on Distribution Thory and Its Applications, organized by Dept. of Statistics, University of Kerala, Thiruvananthapuram during 10-12 December 2018.
  48. Resource person for the Young Talent Nurture 2019, organized  by Dept. of Mathematics, IIST during 20 May - 1 June 2019.
  49. Resource person for the NuMATS   program, jointly organized by SCERT, Govt. of kerala and Dept. of Mathematics, IIST for higher secondary students during 14-18 June 2019.
  50. Invited talk on Some Functions of Phase Type Variates in the National Seminar on Recent Trends in Statistical Theory and Applications-2019organized by Dept. of Statistics, University of Kerala, Thiruvananthapuram during 27-29 June 2019.
  51. Invited talk on Dynamic Programming in the International Conference on Soft Computing and Optimization Techniques, organized by Dept. of Computer Science, Kamararaj College, Thoothukudi during 9-10 August 2019.
  52. Keynote speach on Two-way Communication Orbit Queues in the National Conference on Recent Advances in Mathematical Modelling, organized bt Dept. of Mathematics, Alagappa University, Karaikudi on 23 September 2019.
  53. Resource person for the Higher Secondary Teachers Training Program, jointly organized by Dept. of Higher Secondary Education and Dept. of Collegiate Education, Govt. of kerala at Govt.College Chittoor and Govt. College Chalakkudi during 23 September-2 october 2019. 
  54. Invited talk on Measure Theoretic Approach to Probability in the lecture series in connection with the Ruby Jubilee Celebrations of the Dept. of Mathematics, St. Aloysius College, Edathua on 23 January 2020.
  55. Resource person for the Online FDP on Applications of Mathematics in Engineering, organized by Dept. of Mathematics, KPR Institute of Engineering & Technology, Coimbatore during 25-28 August 2020.